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Carey is organizing her books and putting them on
shelves. She put 2 books on the first shelf, 8 books
on the second shelf, 32 books on the third shelf,
and 128 books on the fourth shelf. What kind of
sequence is this?

Respuesta :

They are multiplying by 4 each set of numbers

Since the common ratio between the number of books in consecutive shelf's is always the same, this sequence is a geometric sequence.

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio.

In this problem, the terms of the sequence are: {2, 8, 32, 128}.

Hence, the quotients between consecutive terms are:

[tex]\frac{128}{32} = 4[/tex]

[tex]\frac{32}{8} = 4[/tex]

[tex]\frac{8}{2} = 4[/tex]

Always the same, hence, a geometric sequence.

A similar problem is given at https://brainly.com/question/24138365

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